Manometer Fluid Selection — Required Properties The liquid used in manometers should have which characteristic so that pressure differences can be measured accurately and with short columns?
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Alow density
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Bhigh density
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Clow surface tension
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Dhigh surface tension
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E—
Answer
Correct Answer: high density
Explanation
Introduction:Choosing a manometric fluid affects the sensitivity, size, and accuracy of pressure measurement devices. The key is to balance column height, capillary effects, vapor pressure, wetting, and chemical compatibility.
Given Data / Assumptions:
- Static pressure measurement in U-tube or differential manometers.
- Small to moderate pressure differences typical of laboratory or industrial setups.
- Standard ambient conditions; clean, wettable tubes.
Concept / Approach:Pressure difference is Delta p = rho * g * Delta h. For a given Delta p, the required column height is Delta h = Delta p / (rho * g). A larger density rho reduces the needed height, making instruments compact and less susceptible to reading error.
Step-by-Step Solution:Start from Delta p = rhogDelta h.For fixed Delta p, increasing rho lowers Delta h and improves readability.High-density fluids (e.g., mercury) therefore allow shorter columns and higher stability.
Verification / Alternative check:Compare water (rho about 1000 kg/m^3) to mercury (rho about 13,600 kg/m^3). For the same pressure, the mercury column is roughly 13.6 times shorter, confirming the benefit of high density.
Why Other Options Are Wrong:Low density requires very tall columns, reducing practicality.Low or high surface tension alone does not guarantee accuracy; excessive capillarity can distort meniscus readings, but density is the primary requirement in this simplified list.
Common Pitfalls:Ignoring vapor pressure (should be low), toxicity/compatibility, and temperature effects; reading the meniscus incorrectly; capillary rise in narrow tubes without correction.
Final Answer:high density